How to Find GCF of 17/527, 383/816, 981/856?

GCF of 17/527, 383/816, 981/856

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 17/527, 383/816, 981/856 i.e 1/2706672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/527, 383/816, 981/856.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 17/527,383/816,981/856?

Given fractions are 17/527,383/816,981/856

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 17/527,383/816,981/856, numerators are 17,383,981

Denominators are 527,816,856

The GCF of 17,383,981 is 1 .

LCM of 527,816,856 is 2706672.

The greatest common factor of 17/527,383/816,981/856 = [GCF of 17,383,981]/[LCM of 527,816,856]= 1/2706672

Therefore, the GCF of 17/527,383/816,981/856 is 1/2706672.

Greatest Common Factor of 17,383,981

To find the highest common factor of 17,383,981, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 383 are 1, 383

The factors of 981 are 1, 3, 9, 109, 327, 981

The HCF of 17,383,981 is 1.

Lets's calculate GCF of 17,383,981

Greatest Common Factor (GCF) of 17,383,981 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 17,383,981 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 383

1,383

Now, list down the factors of 981

1,3,9,109,327,981

Greatest Common Factor

We found the factors 17,383,981 . The biggest common factor number is the GCF number.
So the greatest common factor 17,383,981 is 1.

Lets's calculate LCM of 527,816,856

Lowest Common Multiple of 527,816,856 using Common Division

2	527, 816, 856
2	527, 408, 428
2	527, 204, 214
17	527, 102, 107
	31, 6, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 31 x 6 x 107 = 2706672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2706672

Therefore, the GCF of Fractions 17/527,383/816,981/856 is 1/2706672

Least Common Multiple of 527,816,856 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 527,816,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,816,856) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(527,816,856) x common factors =1 x 136 = 136

LCM(527,816,856) = ( 527 × 816 × 856 ) / 136

LCM(527,816,856) = 368107392 / 136

LCM(527,816,856) = 2706672

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/527, 383/816, 981/856

1. What is the HCF of 17,383,981?

The HCF of 17,383,981 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 17/527, 383/816, 981/856?

Answer: GCF of Numerators as per given numbers 17/527, 383/816, 981/856 is

GCF of Numerators i.e. for 17,383,981 is 1

LCM of denominators i.e. for 527,816,856 is 2706672.

Thus, GCF of Fractions is 1/2706672.Finally, GCF of Fractions for 17/527, 383/816, 981/856 is 1/2706672.